One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. If represents the number of female insects in a population, the number of sterile males introduced each generation, and the population's natural growth rate, then the female population is related to time by
Suppose an insect population with 10,000 females grows at a rate of = 0.10 and 900 sterile males are added. Evaluate the integral to give an equation relating the female population to time.

Note: The resulting equation cannot be solved explicitly for , so your final answer should have the form ...